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2D Fully-Developed Channel Flow at High Reynolds Number Validation Case

K-kL-MEAH2015 Model Results
 

Link to K-kL-MEAH2015 equations

k-kL-MEAH2015 - Cf vs x

k-kL-MEAH2015 - v* vs x k-kL-MEAH2015 - nondimensional u vs y

k-kL-MEAH2015 - u+ vs log10(y+) k-kL-MEAH2015 - Karman measure vs log10(y+)

k-kL-MEAH2015 - nondimensional eddy viscosity vs y

k-kL-MEAH2015 - u'v'+ vs y k-kL-MEAH2015 - u'v'+ vs log10(y+)

Above k-kL-MEAH2015 results are from CFL3D on the finest 161x513 grid. CFL3D used freestream turbulence intensity=0.039% and freestream turbulent viscosity (relative to laminar)=0.009 (additional details can be found in the CFL3D User's Manual, Appendix H). Please read note 5 on Notes on running CFD page. Note that these are compressible code results; results will be somewhat different for incompressible codes. In fact, for incompressible flow, the Cf and v*/Uref should become constant (moving downstream) rather than slowly linearly increasing as shown here. Note that the quantity v* (as defined in White, F. M., Viscous Fluid Flow, McGraw-Hill, New York, 1974, pp. 471-474) is often referred to as u_tau. Note also that Uref used in the above plots is not bulk velocity, but rather the velocity at the reference position upstream where M=0.2. The density (used to compute Cf) is also referenced there.

Results are assumed to be sufficiently "fully developed" by x=500. Looking at the "Karman Measure" (KM), the value of "kappa" produced by this turbulence model is close to 0.410 over much of the log layer. Because k-kL-MEAH2015 is a linear (Boussinesq) model, there is essentially no separation between u'u', v'v', and w'w'.

CFL3D results are given here: kklmeah_cf_vs_x_cfl3d.dat, kklmeah_utau_vs_x_cfl3d.dat, kklmeah_u_cfl3d.dat, kklmeah_u+y+KM_cfl3d.dat, kklmeah_mut_cfl3d.dat, kklmeah_plus_cfl3d.dat. A typical CFL3D input file is: kklmeah_cfl3d_typical.inp.
 
 

Jump to: SA ResultsSA-QCR2000 ResultsSSTm ResultsSSG/LRR-RSM-w2012 ResultsWilcox2006-klim-m Results

Return to: Fully-Developed Channel Flow Validation Intro Page

Return to: Turbulence Modeling Resource Home Page


 
 


Recent significant updates:
02/01/2022 - added mention of expected results for incompressible flow

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Last Updated: 02/01/2022